.2(40)=.4(80+x)-.8

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Solution for .2(40)=.4(80+x)-.8 equation:


Simplifying
0.2(40) = 0.4(80 + x) + -0.8

Multiply 0.2 * 40
8 = 0.4(80 + x) + -0.8
8 = (80 * 0.4 + x * 0.4) + -0.8
8 = (32 + 0.4x) + -0.8

Reorder the terms:
8 = 32 + -0.8 + 0.4x

Combine like terms: 32 + -0.8 = 31.2
8 = 31.2 + 0.4x

Solving
8 = 31.2 + 0.4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4x' to each side of the equation.
8 + -0.4x = 31.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
8 + -0.4x = 31.2 + 0.0
8 + -0.4x = 31.2

Add '-8' to each side of the equation.
8 + -8 + -0.4x = 31.2 + -8

Combine like terms: 8 + -8 = 0
0 + -0.4x = 31.2 + -8
-0.4x = 31.2 + -8

Combine like terms: 31.2 + -8 = 23.2
-0.4x = 23.2

Divide each side by '-0.4'.
x = -58

Simplifying
x = -58

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